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Lesson Posted on 21 May Learn Mathematics
Sonal Gupta
Hello Learners! I am Sonal. I am MBA | B.ED having 15yrs of exp. as Math Educator. I am in ed-tech Industry...
Lesson Posted on 29 Apr Learn Mathematics
Algebra Basics - The Product of algebraic expressions
Deeksha
I have approximately 3 years of experience of teaching Mathematics across different boards including...
Lesson Posted on 21 Apr Learn Mathematics
Abhishek Sharma
I am a civil engineer graduate currently teaching Mathematics in Cambridge board in Ahmedabad. My key...
Classes explore different scenarios using manipulatives to learn about the difference between independent and dependent probability. Learners experiment with colored chips to model the two types of probabilities. To test their understanding, individuals sort independent and dependent probabilities into like groups.
Real Life Context The following examples could be used to explore real life contexts.
Looking at statistics from the Census, questions like:
• How long will I live?
• Will I get married?
• How many children will I have? These questions can be answered with some degree of certainty based on population statistics. Life assurance companies work out how much to charge for their premiums based on tables of life expectancy. Why are some premiums cheaper than others?
The following examples could be used to explore misconceptions:
• What is the most difficult number to get when throwing a fair die?
• Random events should have outcomes which appear random; for example, in the lotto theory tells us that any of the six numbers is equally likely to turn up, yet more people choose randomly spaced numbers than numbers which form a pattern like 1,2,3,4,5,6 etc.
• The likelihood of 2 consecutive numbers appearing in any Lotto draw (which is > 50%) could easily be investigated by reference to a number of recent draws.
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Answered on 16 May Learn Constructions
Pranjal B.
To construct a triangle Δ���ΔABC with ��=6AB=6 cm, ∠�=30∘∠A=30∘, and ∠�=60∘∠B=60∘, follow these steps:
To construct a similar triangle Δ��′�′ΔAB′C′ with base ��′=8AB′=8 cm, follow these steps:
Both triangles will be similar because they have corresponding angles of the same measure.
Answered on 29 Apr Learn Areas related to circles
Aniruddha Singh
PCM sream in 11 , Preparing for JEE
154/3 cm2
EXPLANATION:-
Answered on 29 Apr Learn Areas related to circles
Aniruddha Singh
PCM sream in 11 , Preparing for JEE
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Answered on 19 Apr Learn Probability
Sadika
In a standard deck of 52 playing cards, there are 2 black kings: the king of spades and the king of clubs.
Total number of possible outcomes (total number of cards): There are 52 cards in a standard deck.
Total number of favorable outcomes (black kings): There are 2 black kings in the deck.
Answered on 19 Apr Learn Probability
Sadika
To find the probability that two different friends have different birthdays, we can consider the total number of possible combinations of birthdays and the number of combinations where the birthdays are different.
In a non-leap year, there are 365 days. Therefore, the probability that two friends have different birthdays is the complement of the probability that they have the same birthday.
Total number of possible combinations of birthdays: Each friend can have their birthday on any of the 365 days of the year. So, the total number of possible combinations of birthdays for two friends is 365×365365×365.
Number of combinations where the birthdays are different: If one friend has their birthday on a specific day, the other friend can have their birthday on any of the other 364 days of the year. So, the number of combinations where the birthdays are different is 365×364365×364.
Now, let's calculate the probability that two different friends have different birthdays:
Probability=Number of combinations where the birthdays are differentTotal number of possible combinations of birthdays
Answered on 19 Apr Learn Statistics
Sadika
To find the correct mean, we first need to adjust the sum of the observations by adding the difference between the correct value of 125 and the wrongly noted value of 25. Then we can divide this adjusted sum by the total number of observations.
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Answered on 19 Apr Learn Statistics
Sadika
To find the mean of the 32 numbers, we can use the concept of weighted averages.
Given:
Let's denote:
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